227201600 has 84 divisors (see below), whose sum is σ = 592014564. Its totient is φ = 85524480.

The previous prime is 227201599. The next prime is 227201687. The reversal of 227201600 is 6102722.

It can be written as a sum of positive squares in 6 ways, for example, as 1721344 + 225480256 = 1312^2 + 15016^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23024 + ... + 31376.

Almost surely, 2^227201600 is an apocalyptic number.

227201600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296007282).

227201600 is an abundant number, since it is smaller than the sum of its proper divisors (364812964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

227201600 is a wasteful number, since it uses less digits than its factorization.

227201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 227201600 is about 15073.2080195292. The cubic root of 227201600 is about 610.1975531420.

The spelling of 227201600 in words is "two hundred twenty-seven million, two hundred one thousand, six hundred".